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Fluctuations of Goldstone modes and the chiral transition in QCD

arXiv:0810.3078 · doi:10.1016/j.nuclphysa.2009.01.025

Abstract

We provide evidence for the influence of thermal fluctuations of Goldstone modes on the chiral condensate at finite temperature. We show that at fixed temperature, T<Tc, in the vicinity of the chiral transition temperature this leads to a characteristic dependence of the chiral condensate on the square root of the light quark mass (m_l), which is expected for 3-dimensional models with broken O(N) symmetry. As a consequence the chiral susceptibility shows a strong quark mass dependence for all temperatures below Tc and diverges like 1/sqrt(m_l) in the chiral limit.

4 pages,presented in Strong and ElectroWeak Matter, August 2008, Amsterdam, The Netherlands